Diverse solitons and interaction solutions for the (2+1)-dimensional CDGKS equation
Autor: | Xiao-Yong Wen, Xin Chen, Juan-Juan Wu, Jian-Hong Zhuang, Yaqing Liu |
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Rok vydání: | 2019 |
Předmět: |
Physics
One-dimensional space Statistical and Nonlinear Physics Condensed Matter Physics 01 natural sciences 010101 applied mathematics Nonlinear Sciences::Exactly Solvable and Integrable Systems Quantum mechanics 0103 physical sciences Line (geometry) Soliton 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons 010301 acoustics |
Zdroj: | Modern Physics Letters B. 33:1950174 |
ISSN: | 1793-6640 0217-9849 |
DOI: | 10.1142/s0217984919501744 |
Popis: | In this paper, the (2[Formula: see text]+[Formula: see text]1)-dimensional CDGKS equation is studied and its diverse soliton solutions consisting of line soliton, periodic soliton and lump soliton with different parameters are derived based on the Hirota bilinear method and long-wave limit method. Based on exact solution formulae with different parameters, the interaction between line soliton and periodic soliton, the interaction between line soliton and lump soliton, as well as the interaction between periodic soliton and lump soliton are illustrated. According to the dynamical behaviors, it can be found that the effects of different parameters are on the propagation direction and shapes. Novel soliton interaction phenomena are also observed. |
Databáze: | OpenAIRE |
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